Formulario de Termodinamica (1er Parcial)

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FORMULARIO DE TERMODINÁMICA 
𝑷𝑹𝑬𝑺𝑰Ó𝑵 
𝑷𝒎𝒂𝒏 = 𝑷𝒂𝒃𝒔 − 𝑷𝒂𝒕𝒎 
𝑷𝒂𝒃𝒔 = 𝑷𝒎𝒂𝒏 − 𝑷𝒂𝒕𝒎 
𝑷𝒗𝒂𝒄í𝒐 = 𝑷𝑨𝑻𝑴 − 𝑷𝒂𝒃𝒔 
𝑷𝒎𝒂𝒏 = 𝑷𝒂𝒃𝒔 − 𝑷𝒂𝒕𝒎 
𝑷𝒎𝒂𝒙 = 𝑷𝒂𝒃𝒔 + 𝑷𝒃𝒂𝒓𝒐 
𝑼𝑵𝑰𝑫𝑨𝑫𝑬𝑺 
𝟏 𝑷𝒂 =
𝑵
𝒎𝟐
 
𝟏 𝒂𝒕𝒎 = 𝟏𝟎𝟏. 𝟑𝟐𝟓 𝑷𝒂 
𝟏 𝒂𝒕𝒎 = 𝟕𝟔𝟎 𝒎𝒎𝑯𝒈 
𝟏 𝒎𝒎𝑯𝒈 = 𝟎. 𝟎𝟎𝟏𝟑𝟐 𝒂𝒕𝒎 
𝟏 𝒎𝒎𝑯𝒈 = 𝟏𝟑𝟑. 𝟑𝟐𝟐 𝑷𝒂 
𝟏 𝒃𝒂𝒓 = 𝟏𝟎𝟎, 𝟎𝟎𝟎 𝑷𝒂 
𝟏 𝑻𝒐𝒓𝒓 = 𝟏 𝒎𝒎𝑯𝒈 
𝟏 𝑷𝑺𝑰 (𝒍𝒏 ∗ 𝒍𝒏) = 𝟔𝟖𝟗𝟒. 𝟕𝟔 𝑷𝒂 
𝟏 𝑷𝑺𝑰 = 𝟔. 𝟖𝟗𝟒𝟕𝟔 𝒌𝑷𝒂 
𝑽𝑨𝑳𝑶𝑹𝑬𝑺 𝑫𝑬 𝑷𝑹𝑬𝑺𝑰Ó𝑵 𝑬𝑵 𝑴É𝑿𝑰𝑪𝑶 
𝟓𝟖𝟓 𝒎𝒎𝑯𝒈 
𝟕𝟗𝟓𝟑. 𝟎𝟕𝟓
𝑲𝒈
𝒎𝟐
 
𝟎. 𝟗𝟐𝟕
𝑲𝒈
𝒎𝟐
 
𝟕𝟖 𝒌𝑷𝒂 
𝑬𝑪𝑼𝑨𝑪𝑰Ó𝑵 𝑼𝑵𝑰𝑽𝑬𝑹𝑺𝑨𝑳 𝑫𝑬 𝑳𝑶𝑺 𝑮𝑨𝑺𝑬𝑺 
𝑷𝑽 = 𝒏�̅�𝑻 
𝑷 = 𝒑𝒓𝒆𝒔𝒊ó𝒏 (𝒑𝒓𝒆𝒔𝒊ó𝒏 𝒅𝒆𝒍 𝒈𝒂𝒔 𝒐 𝒔𝒊𝒔𝒕. 𝒆𝒏 𝒂𝒕𝒎) 
𝑽 = 𝒗𝒐𝒍𝒖𝒎𝒆𝒏 (𝒗𝒐𝒍𝒖𝒎𝒆𝒏 𝒅𝒆𝒍 𝒔𝒊𝒔𝒕𝒆𝒎𝒂 𝒐 𝒈𝒂𝒔 𝒆𝒏 𝑳) 
𝒏 = 𝒏ú𝒎𝒆𝒓𝒐 𝒅𝒆 𝒎𝒐𝒍𝒆𝒔 (𝒅𝒆𝒍 𝒔𝒊𝒔𝒕𝒆𝒎𝒂 𝒐 𝒅𝒆𝒍 𝒈𝒂𝒔) 
�̅� = 𝒄𝒐𝒏𝒔𝒕𝒂𝒏𝒕𝒆 𝒖𝒏𝒊𝒗𝒆𝒓𝒔𝒂𝒍 𝒅𝒆 𝒍𝒐𝒔 𝒈𝒂𝒔𝒆𝒔 𝒊𝒅𝒆𝒂𝒍𝒆𝒔 
 
 
𝒎𝒊 =
𝒎𝒕
𝒏. 𝒈𝒂𝒔𝒆𝒔
 
𝒏𝒊 =
𝒎𝒊
𝑴𝒂
 
𝑴𝒊 = 𝑩𝒊(𝑴𝒂) 
𝑮𝒊 =
𝒎𝒊
𝒎𝒕
 
𝑺𝑰 𝑻𝑬 𝑫𝑨𝑵 𝑳𝑨 𝑴𝑨𝑺𝑨 𝑷𝑨𝑹𝑪𝑰𝑨𝑳 
𝟏. −𝑯𝒂𝒄𝒆𝒓 𝒕𝒂𝒃𝒍𝒂 𝒈𝒆𝒏𝒆𝒓𝒂𝒍 𝒅𝒆 𝒅𝒂𝒕𝒐𝒔 
𝑫𝒂𝒕𝒐𝒔 𝒆𝒋𝒆𝒎𝒑𝒍𝒐 
𝑷𝒂𝒕𝒎 𝑻𝑲 𝒏 = 𝒈/𝒎𝒐𝒍 𝑽𝑳 𝒎𝒌𝒈 
1 303.15 40.22 1000 0.050 
 
𝟐. −𝑯𝒂𝒄𝒆𝒓 𝒕𝒂𝒃𝒍𝒂 𝒅𝒆 𝒂𝒏á𝒍𝒊𝒔𝒊𝒔 
 
 𝑴𝒂𝒔𝒂 𝒎𝒐𝒍𝒂𝒓 𝑩𝒊 
𝑣𝑜𝑙𝑢𝑚é𝑡𝑟𝑖𝑐𝑜 
𝑮𝒊 
𝑔𝑟𝑎𝑣𝑖𝑚é𝑡𝑟𝑖𝑐𝑜 
𝒎𝒊 
𝑚𝑎𝑠𝑎 𝑝𝑎𝑟𝑐𝑖𝑎𝑙 
𝒏𝒊 
𝑚𝑜𝑙𝑒𝑠 𝑝𝑎𝑟𝑐𝑖𝑎𝑙𝑒𝑠 
𝑴𝒊 
𝐵𝑖(𝑀𝑎) 
𝒈𝒂𝒔 
 
𝟑. −𝑺𝒖𝒔𝒕𝒊𝒕𝒖𝒊𝒓 𝒅𝒂𝒕𝒐𝒔 𝒄𝒐𝒏𝒐𝒄𝒊𝒅𝒐𝒔 𝒄𝒐𝒎𝒐: 𝑴𝒂 𝒚 𝑩𝒊% =, % 
𝑴𝒊 = 𝑩𝒊(𝑴𝒂) 
𝒈
𝒎𝒐𝒍
 
𝒏𝑻 =
𝑷𝑽
𝑹𝑻
=
(𝟏𝒂𝒕𝒎)(𝟏𝟎𝟎𝟎𝑳)
(𝟎. 𝟎𝟖𝟐
𝒂𝒕𝒎𝑳
𝒎𝒐𝒍𝑲
) (𝟑𝟎𝟑. 𝟏𝟓𝑲)
 
𝒏𝒊 = 𝑩𝒊(𝒏𝑻) 
𝒎𝒊 = 𝑴𝒊𝒏𝑻 
𝑮𝒊 =
𝒎𝒊
𝒎𝒕
 
𝑹𝒎 =
𝑹𝑼
𝑴𝒎(𝑻𝑴𝒊)
 
𝑺𝒊𝒆𝒏𝒅𝒐: 
𝑹𝒎 = 𝒄𝒐𝒏𝒔𝒕𝒂𝒏𝒕𝒆 𝒅𝒆 𝒖𝒏𝒂 𝒎𝒆𝒛𝒄𝒍𝒂 
𝑹𝑼 = 𝑪𝒐𝒏𝒔𝒕𝒂𝒏𝒕𝒆 𝒖𝒏𝒊𝒗𝒆𝒓𝒔𝒂𝒍 (𝟖. 𝟑𝟏𝒙𝟏𝟎
−𝟑
𝒌𝑱
𝒎𝒐𝒍𝑲
) 
𝑴𝒎 = 𝑴𝒂𝒔𝒂 𝒎𝒐𝒍𝒂𝒓 𝒅𝒆 𝒍𝒂 𝒎𝒆𝒛𝒄𝒍𝒂 
𝑹𝒎 =
𝟖. 𝟑𝟏𝒙𝟏𝟎−𝟑
𝒌𝑱
𝒎𝒐𝒍𝑲
𝟐𝟏. 𝟎𝟕
𝒈
𝒎𝒐𝒍
= 𝟎. 𝟑𝟗𝟒𝟓
𝒌𝑱
𝒈𝑲
 
𝑷𝒐𝒓 𝒍𝒐 𝒕𝒂𝒏𝒕𝒐 𝒔𝒖𝒔𝒕𝒊𝒕𝒖𝒊𝒎𝒐𝒔 𝒏𝒖𝒆𝒔𝒕𝒓𝒂 𝑹 𝒆𝒏 𝒍𝒂 𝒇ó𝒓𝒎𝒖𝒍𝒂. 
𝒎 =
𝑷𝑽
𝑹𝒎𝑻
 
𝑺𝒊 𝒎𝒆 𝒅𝒂 𝒎𝒊 𝒆𝒏 𝒌𝒈 𝒑𝒂𝒔𝒂𝒓 𝒂 𝒈: 
1 𝐾𝑔 = 1000𝑔 
𝑷𝒂𝒓𝒂 𝒔𝒂𝒄𝒂𝒓 𝒆𝒍 𝒏ú𝒎𝒆𝒓𝒐 𝒅𝒆 𝒎𝒐𝒍𝒆𝒔 𝒅𝒆 𝒄𝒂𝒅𝒂 𝒆𝒍𝒆𝒎𝒆𝒏𝒕𝒐: 
𝒏𝒊 =
𝒎𝒊(𝒈)
𝒎𝒂𝒕ó𝒎𝒊𝒄𝒂
 
𝒏𝒊 =
𝒎𝒊
𝑴𝒂
 
𝑩𝒊 =
𝒏𝒊
𝒏𝒕
 
𝑷𝒂𝒓𝒂 𝒔𝒂𝒄𝒂𝒓 𝒍𝒂 𝒎𝒂𝒔𝒂 𝒕𝒐𝒕𝒂𝒍 𝒅𝒆 𝒍𝒂 𝒎𝒆𝒛𝒄𝒍𝒂: 
𝑴𝒕 =
𝒎𝒊(𝒕)
𝒏𝒊(𝒕)
 
𝑺𝑰 𝑴𝑬 𝑫𝑨𝑵 𝑬𝑳 𝑽𝑶𝑳𝑼𝑴É𝑻𝑹𝑰𝑪𝑶 (𝑩𝒊) 
𝑴𝒊 = 𝑩𝒊(𝑴𝒂) 
𝒏𝒊 =
𝑩𝒊
𝑴𝑻
 
𝒎𝒊 = 𝑴𝒊(𝒏𝒊𝑻) 
𝑮𝒊 =
𝒎𝒊
𝒎𝒕
 
𝑹 =
𝑷𝑽
𝒎𝑻
 
𝐶𝑝𝑚 = 𝐺𝑖𝐴𝑟𝐶𝑝𝐴𝑟 + 𝐺𝑖𝐻𝑒𝐶𝑝𝐻𝑒 + 𝐺𝑖𝑁2𝐶𝑝𝑁2 
𝐶𝑣𝑚 = 𝐺𝑖𝐴𝑟𝐶𝑣𝐴𝑟 + 𝐺𝑖𝐻𝑒𝐶𝑣𝐻𝑒 + 𝐺𝑖𝑁2𝐶𝑣𝑁2 
𝐶𝑣𝑚 = 𝐶𝑉𝑚 − 𝑅 
𝑷𝑹𝑬𝑺𝑰𝑶𝑵𝑬𝑺 𝑷𝑨𝑹𝑪𝑰𝑨𝑳𝑬𝑺 
𝑃 =
𝑛𝑖
𝑛𝑡
(𝑝 (𝑑𝑒𝑙 𝑠𝑖𝑠𝑡𝑒𝑚𝑎)) 
𝑝 =
(𝑛𝑖)(0.082)(𝑇)
𝑉
 
𝑃 = 𝐵𝑖(𝑃𝑡)